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Colt1911 [192]
1 year ago
7

PLAYSTOP6The volume of the solid iscubic feet. Use the formula V = Bh. All angles are 90°.9 ft.6 ft.ft.3 ft.2 ft.2ft.

Mathematics
1 answer:
ira [324]1 year ago
3 0

Volumen of A Solid

Given a solid with a shape of a constant base B and height H, the volume is:

V = BH

The height of the solid is 1 1/4 ft. We need to calculate the area of the base.

The base consists of a larger rectangle from which has been taken a smaller rectangle.

The larger rectangle has dimensions of 9 ft by 6 ft, thus its area is:

A1 = 9 ft * 6 ft = 54 square ft

The smaller rectangle has dimensions of 2 1/2 ft by 4 ft.

The second dimension was calculated as the difference between 9 ft and 2 ft plus 3 ft. (9 ft - 3 ft - 2 ft = 4 ft).

The area of the smaller rectangle is:

A2 = 2 1/2 * 4

The mixed fraction 2 1/2 is converted to improper fraction:

2 1/2 = 2 + 1/2 = 5/2

Thus, the area is:

A2 = 5/2 * 4

A2 = 10 square feet

The area of the base is A1 - A2 = 54 square feet - 10 square feet = 44 square feet

B = 44 square feet.

Now for the volume:

V = 44 square feet * 1 1/4 feet

Again the mixed fraction is converted to a single fraction:

1 1/4 = 1 + 1/4 = 5/4

V = 44 square feet * 5/4 feet

V = 55 cubic feet

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Step-by-step explanation:

We have 3 field goals, but Phil Dawson made 2 of 3 randomly

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6 0
2 years ago
Find the value of d.
Ket [755]
First find the value or (DEA)
For this you will have to use the Pythagorean theory,
{a}^{2} + {b}^{2} = {c}^{2}
C is mainly the hypotenuse,
Meaning you either want to find A or B,

Since the hypotenuse has two segments, both values are 10, then just add them together making it 20,

Then 16 will be A or B, in this case it will be A,

To find a you must first move A to the other side by doing the opposite,
{b}^{2} = {c}^{2} - {a}^{2}
Now plug in the values,
{b}^{2} = {20}^{2} - {16}^{2}
{b}^{2} = 400 - 256
{b}^{2} = 144
Now just find the square root of both factors,
\sqrt{ {b}^{2} } = \sqrt{12}
The value of (DEA) is,
b = 12
Now we want to find (d)
Since 12 is the value of the base, then divide it 2 to find (DE), after just repeat the whole process but with the value of hypotenuse 10 instead of 20 since we want to find the smaller triangle,
{a}^{2} = {c}^{2} - {b}^{2}
Now plug in the value
{a}^{2} = {10}^{2} - {6}^{2}
{a}^{2} = 100 - 36
{a}^{2} = 64
Now find the square root of both factors,
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The value of (d) is (8)

Hope this helped
:D
4 0
2 years ago
Please answer it now in two minutes
zimovet [89]

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

sin X = \frac{6}{7}

sin X = 0.8571

X = sin^{-1}(0.8571)

X = 58.99

m < X = 59.0 (rounded to nearest tenth)

4 0
2 years ago
Joe has 1.8 meters of rope. He has to cut pieces of rope that are 0.3 meters long. How many pieces can he cut
RSB [31]

Answer:

6

Step-by-step explanation:

1.8 divided by 0.3 = 6

6 x 0.3 = 1.8

5 0
2 years ago
The sum of two number is 17. their driffrence is 27.write a system of equations that describe this situation. solve to find the
STatiana [176]
A) x + y = 17
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x = 22
y = -5


6 0
3 years ago
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